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Finding the Fourth Proportional to 598.26, 826.14 and 377.58

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Solution

The fourth proportional to 598.26, 826.14 and 377.58 is: 521.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.26 : 826.14 = 377.58 : x
  2. Step 2: Convert to fraction form
    598.26/826.14 = 377.58/x
  3. Step 3: Cross multiply
    598.26x = 826.14 × 377.58
  4. Step 4: Simplify right side
    598.26x = 311,933.94
  5. Step 5: Solve for x
    x = 311,933.94/598.26
  6. Step 6: Final answer
    x = 521.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.